Details

Time bar (total: 11.0s)

sample31.0ms

Algorithm
intervals
Results
14.0ms328×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3457
4617
done617

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
12.0ms
(- 1.0 (* x y))
37.0ms
(* x (- 1.0 (* x y)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- 1.0 (* x y))
64.0ms
(* x (- 1.0 (* x y)))

simplify583.0ms

Counts
58 → 58
Iterations

Useful iterations: done (580.0ms)

IterNodesCost
081616
1195607
2805540
done5001522

prune414.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
28.0ms
(* x (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y))))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(* x (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y))))

simplify833.0ms

Counts
27 → 27
Iterations

Useful iterations: done (832.0ms)

IterNodesCost
059569
1189476
21079374
done5000322

prune115.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (cbrt (fma 0 x (fma (- x) y 1.0))) (* x (cbrt (fma 0 x (fma (- x) y 1.0))))) (cbrt (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y)))))
0.2b
(cbrt (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y))))
0.2b
(cbrt (fma 0 x (fma (- x) y 1.0)))
0.2b
(cbrt (fma 0 x (fma (- x) y 1.0)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-+ associate-*r/ flip-+
1×associate-*l* *-commutative
Counts
4 → 69
Calls
4 calls:
104.0ms
(* (* (cbrt (fma 0 x (fma (- x) y 1.0))) (* x (cbrt (fma 0 x (fma (- x) y 1.0))))) (cbrt (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y)))))
3.0ms
(cbrt (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y))))
1.0ms
(cbrt (fma 0 x (fma (- x) y 1.0)))
1.0ms
(cbrt (fma 0 x (fma (- x) y 1.0)))

series1.7s

Counts
4 → 12
Calls
4 calls:
569.0ms
(* (* (cbrt (fma 0 x (fma (- x) y 1.0))) (* x (cbrt (fma 0 x (fma (- x) y 1.0))))) (cbrt (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y)))))
359.0ms
(cbrt (+ (fma (- x) y (pow (cbrt 1.0) 3)) (* x (+ (- y) y))))
406.0ms
(cbrt (fma 0 x (fma (- x) y 1.0)))
365.0ms
(cbrt (fma 0 x (fma (- x) y 1.0)))

simplify1.7s

Counts
81 → 81
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01692598
14682358
221851958
done50011467

prune633.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (- x) y 1.0))
0.2b
(cbrt (cbrt (fma (- x) y 1.0)))
0.2b
(cbrt (* (cbrt (fma (- x) y 1.0)) (cbrt (fma (- x) y 1.0))))
0.2b
(* (cbrt (fma (- x) y 1.0)) (cbrt (fma (- x) y 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 82
Calls
4 calls:
2.0ms
(cbrt (fma (- x) y 1.0))
3.0ms
(cbrt (cbrt (fma (- x) y 1.0)))
11.0ms
(cbrt (* (cbrt (fma (- x) y 1.0)) (cbrt (fma (- x) y 1.0))))
23.0ms
(* (cbrt (fma (- x) y 1.0)) (cbrt (fma (- x) y 1.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
390.0ms
(cbrt (fma (- x) y 1.0))
394.0ms
(cbrt (cbrt (fma (- x) y 1.0)))
361.0ms
(cbrt (* (cbrt (fma (- x) y 1.0)) (cbrt (fma (- x) y 1.0))))
362.0ms
(* (cbrt (fma (- x) y 1.0)) (cbrt (fma (- x) y 1.0)))

simplify1.1s

Counts
94 → 94
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01941846
15211694
219581544
done50011424

prune723.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01317
11717
done1717

end0.0ms

sample881.0ms

Algorithm
intervals
Results
437.0ms10591×body80valid